def factorization(N):#素因数分解√N
    arr = []
    temp = N
    for i in range(2, int(-(-N**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])
    if temp!=1:
        arr.append([temp, 1])
    if arr==[]:
        arr.append([N, 1])
    return arr #[素因数、個数]

N,K,M = map(int,input().split())
ar = factorization(M)
dic = dict()
for i in range(len(ar)):
    dic[ar[i][0]] = ar[i][1]

dic2 = dict()
mi,mx = N-K,N
mi2,mx2 = 0,K

for k in dic.keys():
    cnt = 0
    ii = 1
    while k**ii <= 10**18:
        cnt += mx//k**ii-mi//k**ii
        cnt -= mx2//k**ii-mi2//k**ii
        ii += 1
    dic2[k] = cnt
ans = float('INF')
for k in dic.keys():
    ans = min(ans,dic2[k]//dic[k])
print(ans)